Sentence examples for define probabilities from inspiring English sources

It turns out to be simpler, however, not only to use Lebesgue's theory of measure to define probabilities but also to use his theory of integration to define expectation.

This categorization is not strict, i.e., the nodes define probabilities that each flow's content may be useful or indifferent.

First, he thought that any attempt to define probabilities as the ratio of instances of one property among instances of another property as the latter approaches infinity would make probability judgments empirically untestable.

Instead of using the representation theorems to define probabilities and utilities, decision theory may use them to establish probabilities' and utilities' measurability when preferences meet structural and normative axioms.

Then, we define probabilities of interest in single and two-population models.

The measures discussed in this review are based on probabilistic aspects of networks such as the expected number of links, the expected community structure, or the expected degree sequences that have been used to define probabilities.

We define probability distributions of the two-directional parameters.

Most of previous studies implement probabilistic-based uncertainty analysis, which requires detailed information to define probability for input factors.

The first category mainly contains classical and logical concepts of probability.[40] Classical concepts define probability through the equal possibility of states of affairs.

These methods assume that unknown parameters are the fixed constants, and they define probability using limiting relative frequencies.

We define probability generating functions (pgfs) for these degree distributions thus: Since Ρ χ and q χ are each properly normalized probability distributions, and g0(1)=1.